What is the Greatest Common Factor of 90210 and 90219?

Greatest common factor (GCF) of 90210 and 90219 is 3.

GCF(90210,90219) = 3

We will now calculate the prime factors of 90210 and 90219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90210 and 90219.

How to find the GCF of 90210 and 90219?

We will first find the prime factorization of 90210 and 90219. After we will calculate the factors of 90210 and 90219 and find the biggest common factor number .

Step-1: Prime Factorization of 90210

Prime factors of 90210 are 2, 3, 5, 31, 97. Prime factorization of 90210 in exponential form is:

90210 = 2¹ × 3¹ × 5¹ × 31¹ × 97¹

Step-2: Prime Factorization of 90219

Prime factors of 90219 are 3, 17, 29, 61. Prime factorization of 90219 in exponential form is:

90219 = 3¹ × 17¹ × 29¹ × 61¹

Step-3: Factors of 90210

List of positive integer factors of 90210 that divides 90210 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 97, 155, 186, 194, 291, 310, 465, 485, 582, 930, 970, 1455, 2910, 3007, 6014, 9021, 15035, 18042, 30070, 45105

Step-4: Factors of 90219

List of positive integer factors of 90219 that divides 90210 without a remainder.

1, 3, 17, 29, 51, 61, 87, 183, 493, 1037, 1479, 1769, 3111, 5307, 30073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90210 and 90219. The biggest common factor number is the GCF number.
So the greatest common factor 90210 and 90219 is 3.

Also check out the Least Common Multiple of 90210 and 90219